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math.MG2002★ 1 cited
Many Triangulated 3-Spheres
Julian Pfeifle, Günter M. Ziegler
We construct 2^{Ω(n^{5/4})} combinatorial types of triangulated 3-spheres on n vertices. Since by a result of Goodman and Pollack (1986) there are no more than 2^{O(n log n)} combi…
math.MG2002★ 38 cited
Face numbers of 4-Polytopes and 3-Spheres
Günter M. Ziegler
In this paper, we discuss f- and flag-vectors of 4-dimensional convex polytopes and cellular 3-spheres. We put forward two crucial parameters of fatness and complexity: Fatness F(P…